34953768 has 160 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 10326528.

The previous prime is 34953757. The next prime is 34953773. The reversal of 34953768 is 86735943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209221 + ... + 209387.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 2^34953768 is an apocalyptic number.

34953768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34953768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

34953768 is an abundant number, since it is smaller than the sum of its proper divisors (74817432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34953768 is a wasteful number, since it uses less digits than its factorization.

34953768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 34953768 is about 5912.1711747885. The cubic root of 34953768 is about 326.9625409494.

It can be divided in two parts, 34953 and 768, that added together give a square (35721 = 189²).

The spelling of 34953768 in words is "thirty-four million, nine hundred fifty-three thousand, seven hundred sixty-eight".